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Finding the Fourth Proportional to 282.59, 422.56 and 201.18

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Solution

The fourth proportional to 282.59, 422.56 and 201.18 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 422.56 = 201.18 : x
  2. Step 2: Convert to fraction form
    282.59/422.56 = 201.18/x
  3. Step 3: Cross multiply
    282.59x = 422.56 × 201.18
  4. Step 4: Simplify right side
    282.59x = 85,009.61
  5. Step 5: Solve for x
    x = 85,009.61/282.59
  6. Step 6: Final answer
    x = 300.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.